Contact Info

Department of Mathematics
Aristotle University of Thessaloniki
GR-54124 Thessaloniki, Greece
Office: 3.14, 3rd floor, New building of the School of Sciences
e-mail: gkelgian@math.auth.gr

Brief CV

Education

2013 - 2019 Ph.D. in Mathematics, Dpt of Mathematics, A.U.TH., Greece, Advisor: Dimitrios Betsakos
2010 - 2013 M.Sc. in Mathematics, Dpt of Mathematics, A.U.TH., Greece
2000 - 2006 B.Sc. in Mathematics, Dpt of Mathematics, A.U.TH., Greece

Employment

2013 - present High School Teacher, Technical High School of Kalamaria, Greece
2019-20 (spring semester) Teaching Calculus II, Dpt of Mathematics, A.U.TH., Greece
2010 - 2013 High School Teacher, Gymnasio Paliouriou, Greece
2008 - 2010 High School Teacher, Gymnasio L.T. Kastellorizou, Greece

Research Interests

Complex Analysis, Potential Theory

Publications

  1. G. Kelgiannis and V. Laschos. On a conjecture regarding the upper graph box dimension of bounded subsets of the real line. Fractals 21, no. 3-4, 2013.(preprint)
  2. G. Kelgiannis. Trajectories of semigroups of holomorphic functions and harmonic measure. Journal of Mathematical Analysis and Applications vol. 474, 2, p. 1364-1374, 2019.(preprint)
  3. D. Betsakos, G. Kelgiannis, M. Kourou and S. Pouliasis. On the asymptotic behavior of condenser capacity under Blaschke products and universal covering maps.* Proc. Amer. Math. Soc. 147, p. 2963-2973, 2019.(preprint)
  4. D. Betsakos, G. Kelgiannis, M. Kourou and S. Pouliasis. Semigroups of holomorphic functions and condenser capacity* Anal. Math. Phys., 10,8, 2020. (preprint)
  5. G. Kelgiannis. Equality case for an elliptic area condenser inequality and a related Schwarz type Lemma. Proc. Edinburgh Math. Soc., vol. 63,1, p. 91-104, 2020.(preprint)
*This research has been co-financed by the Operational Program "Human Resources Development, Education and Lifelong Learning" and is co-financed by the European Union (European Social Fund) and Greek national funds.

Teachings (in greek)

Ph.D. Thesis

Geometry topics of holomorphic functions (pdf), only available in greek.

Master Thesis

On estimates of convex integral means of harmonic functions (pdf), only available in greek.

Find me in

ORCID

arXiv

Links

YouReka - Math Puzzles (only in greek)

Origami and Mathematics